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Finding the Fourth Proportional to 509,275.08, 763,893.18 and 172,341

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Solution

The fourth proportional to 509,275.08, 763,893.18 and 172,341 is: 258,504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,275.08 : 763,893.18 = 172,341 : x
  2. Step 2: Convert to fraction form
    509,275.08/763,893.18 = 172,341/x
  3. Step 3: Cross multiply
    509,275.08x = 763,893.18 × 172,341
  4. Step 4: Simplify right side
    509,275.08x = 131,650,114,534.38
  5. Step 5: Solve for x
    x = 131,650,114,534.38/509,275.08
  6. Step 6: Final answer
    x = 258,504.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.